Code covered by the BSD License  

Highlights from
Corresponding Points through MDL

2.5

2.5 | 2 ratings Rate this file 24 Downloads (last 30 days) File Size: 6.64 MB File ID: #36695
image thumbnail

Corresponding Points through MDL

by

 

Minimum Description Length optimization of PCA model for 2D/3D ASM model building

| Watch this File

File Information
Description

An Active Shape Model (ASM) can only be trained if we have a set of corresponding points between object contours (2D) or object surfaces(3D). Usually these corresponding points are found by manual annotation of all objects by landmark points, or using shape-features. Another approach is the Minimum Description Length (MDL). In MDL all objects are mapped to lines/circles/spheres, then rough corresponding points are defined. From those points the PCA-shape model of the ASM is constructed. If the points have good correspondence the variation in the PCA model will be small, and first eigenvalues larges, in case of bad correspondence the variation will be large. We use an optimizer which moves the corresponding points along the contour/surfaces to minimize the variation and optimize the correspondence.

There are three examples,
1D, Line optimization
2D, Circle MDL of hand contours
3D, Sphere MDL of jaw surfaces

Notes!
The code can be a bit messy (because I have no spare time left).
3D MDL works much worse then my Shape-Context Registration approach on Mathworks. This is caused by the Mapping to the Sphere, which is not (yet) a conformal mapping.

Literature
- Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping
- MODELING THREE-DIMENSIONAL
MORPHOLOGICAL STRUCTURES USING
SPHERICAL HARMONICS
- Parametrization of closed surfaces
for 3-D shape description
- 3D Active Shape Models Using Gradient
Descent Optimization of Description Length

Required Products MATLAB
MATLAB release MATLAB 7.12 (R2011a)
Tags for This File   Please login to tag files.
Please login to add a comment or rating.
Comments and Ratings (3)
29 Apr 2014 fa.abdoly

hello
thanks for this code very much.
i run test program in folder "function3D" and How long does it take?
my pc is corei7 and 16G ram

27 Nov 2012 hamed Azizollahi  
19 Sep 2012 Long

Is the function "isocontour" missing? CircleMDL2D.m gives me this error.

Contact us